What are the solutions to the equation 3x^2-2x=-1/3 ?

The solutions to the equation 3x^2-2x=-1/3 are x= 1/3

Find the zeros of 3x^2-2x=-1/3

The zeros of 3x^2-2x=-1/3 are x= 1/3

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3 x^{2} - 2 x = - \frac{1}{3}

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

3 x^{2} - 2 x = - \frac{1}{3}

Multiply both sides by

3

9 x^{2} - 6 x = - 1

Move

1

to the left side

9 x^{2} - 6 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 9 \cdot 1}{2 \cdot 9}

(- 6)^{2} - 4 \cdot 9 \cdot 1 = 0

x_{1, 2} = \frac{- ( - 6 ) \pm 0}{2 \cdot 9}

x = \frac{- ( - 6 )}{2 \cdot 9}

\frac{- ( - 6 )}{2 \cdot 9} = \frac{1}{3}

x = \frac{1}{3}

The solution to the quadratic equation is:

x = \frac{1}{3}

\frac{1}{30} X^{2} - \frac{4}{5} X - 6 = 0

x, x^{2} + z^{2} = y

10 x^{2} = 4 x + 32

2 a^{2} - 17 a + 8 = 0

9 x^{2} - x = 4 x + 7 x^{2}

What are the solutions to the equation 3x^2-2x=-1/3 ?
The solutions to the equation 3x^2-2x=-1/3 are x= 1/3
Find the zeros of 3x^2-2x=-1/3
The zeros of 3x^2-2x=-1/3 are x= 1/3